1. (10 points) Prove the following statements. • Every elementary matrix is invertible. • If A is invertible, then A is

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1 10 Points Prove The Following Statements Every Elementary Matrix Is Invertible If A Is Invertible Then A Is 1 (25.73 KiB) Viewed 40 times

1. (10 points) Prove the following statements. • Every elementary matrix is invertible. • If A is invertible, then A is the product of elementary matrices. 2. (10 points) Let A = • Use row-reduction to compute the determinant of A. • Use the elementary matrices corresponding to the row-reduction steps to get A-¹ • Solve A 3 2 2 1 -1 0 4 1 3 x Y 2 = -(1)